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Homework Statement
Homework Equations
F= ma or F= md^2x/dt^2
The Attempt at a Solution
I know that this second order differential is non linear. I attempted to solve the problem as k/x^2 = md^2x/dt^2 but I'm getting trouble since it is a second order ODE and I haven't learned how to solve those yet. I was also looking at my class notes to a similar problem but my professor included potential energy? I'm a bit confused. Any help would be greatly appreciated. If you can also show me how to solve this on Mathematica, that would also be a plus. I don't have any experience with it.
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